General Aptitude questions with answers and concepts

Learn general aptitude with concept notes and worked examples, then practise focused questions with explained answers. Build accuracy for placement and competitive aptitude tests before trying timed mode.

100 practice questionsPage updated 11 Sept 2026Reviewed by AISEA Editorial Desk (Technical & Aptitude Practice)Practice questions

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General Aptitude is a core 15-mark component of national engineering and recruitment examinations like GATE, testing fundamental problem-solving, cognitive agility, and language comprehension. The curriculum spans four distinct cognitive faculties: Verbal Aptitude (grammar, vocabulary, reading comprehension), Quantitative Aptitude (arithmetic, algebra, data analysis), Analytical Aptitude (deductive logic, sequences, constraints), and Spatial Aptitude (2D/3D transformations, paper folding, mirror reflections). Mastering these domains requires combining rapid calculation shortcuts with rigorous grammatical and logical precision.

Key formulas and rules

7 rules

Hypothetical Second Conditional: $If + Past Subjunctive/Simple Past ⟹ modal (would / should / could) + bare infinitive$

Weighted Average: $\overset{x}{ˉ}_{w} = \frac{\sum _{i = 1}^{n} w _{i} x _{i}}{\sum _{i = 1}^{n} w _{i}}$ , where $w_{i}$ represents the frequency or relative weight of component $x_{i}$

Relative Percentage Change: $Δ% = \frac{V _{final} - V _{initial}}{V _{initial}} \times 100%$ , always using the original baseline as denominator

Principle of Inclusion-Exclusion: $∣ A \cup B ∣ = ∣ A ∣ + ∣ B ∣ - ∣ A \cap B ∣$ and $∣ A \cup B \cup C ∣ = \sum ∣ A ∣ - \sum ∣ A \cap B ∣ + ∣ A \cap B \cap C ∣$

Work-Rate Reciprocal: $Rate = \frac{1}{T _{total}}$ , so combined rate for two independent agents is $\frac{1}{T _{A + B}} = \frac{1}{T _{A}} + \frac{1}{T _{B}}$

Two-Dimensional Rotation: $(x^{'} y^{'}) = (cos θ sin θ - sin θ cos θ) (x y)$ , mapping clockwise or anticlockwise planar rotations

Contrapositive Equivalence: $(P ⟹ Q) \equiv (\neg Q ⟹ \neg P)$ , providing an exact logical mirror for deductive arguments

Key concepts

Verbal Aptitude: Grammar and Contextual Syntax

Verbal aptitude evaluates structural grammar, vocabulary nuances, sentence completion, and passage comprehension. Key focus areas include: (1) Subject-Verb Agreement with compound subjects, collective nouns, and correlative conjunctions (either...or, neither...nor); (2) Tense sequencing, especially distinguishing factual conditionals ('if it rains, I will stay') from hypothetical conditionals ('if he wanted to lie down, he should take...'); (3) Precision with homophones, collocations, and idiomatic expressions; (4) Reading comprehension identifying main arguments, explicit inferences, and tone.

Quantitative Aptitude: Numerical Reasoning and Modeling

Quantitative aptitude assesses numerical intuition and applied mathematics. Core topics include: (1) Arithmetic: percentages, ratios, profit and loss, averages, mixtures, and time-speed-distance; (2) Elementary algebra: linear equations, quadratic inequalities, and indices; (3) Number theory: divisibility tests, remainders, and prime factorisation; (4) Data interpretation: reading line graphs, histograms, and pie charts with precise units and scales.

Analytical Aptitude: Deductive Logic and Constraints

Analytical aptitude evaluates structured deduction from given rules without assuming external real-world knowledge. Core problem types include: (1) Syllogisms: establishing necessary conclusions from categorical premises using Venn diagrams; (2) Seating and linear ordering: resolving spatial constraints and case branches; (3) Blood relations and familial trees; (4) Coding-decoding and alphanumeric sequences following cyclic positional shifts.

Spatial Aptitude: Transformations and 2D/3D Geometry

Spatial aptitude tests mental rotation, pattern visualization, and geometric transformations. Key topics include: (1) Planar rotation: rotating 2D shapes around a point by 90°, 180°, or 270°; (2) Mirror images and reflections across horizontal/vertical axes; (3) Paper folding and punching: tracing hole symmetries after unfolding; (4) 3D box nets: determining opposite faces and adjacent orientations of cubes from planar unfoldings.

Check the idea while it is fresh.Open a focused exercise without losing this article.Practise this concept

Worked examples

Example 1

Complete the sentence with the most grammatically appropriate modal option:
'If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.'
A) should take
B) shall take
C) should have taken
D) will have taken

Solution

Step 1: Identify the sentence structure and conditional mood.
The conditional clause uses 'If the tired soldier wanted to lie down', which is formulated with the past tense ('wanted'). This establishes a hypothetical or second conditional structure rather than a factual present conditional.

Step 2: Apply the second conditional grammar rule.
In standard English, second conditionals follow the pattern: If + [past subjunctive / past simple], then [would / should / could + bare infinitive].

Step 3: Evaluate the options.
- 'shall take' / 'will have taken': violate conditional sequence of tenses.
- 'should have taken': represents a third conditional (counterfactual past), which requires 'If he had wanted...'.
- 'should take': correctly matches the modal + bare infinitive structure required by 'wanted'.

Answer: A) should take.

Example 2

Two pipes A and B can fill a storage cistern in 12 minutes and 18 minutes respectively. An outlet pipe C can empty the full cistern in 15 minutes. If all three pipes are opened simultaneously, in how many minutes will the empty cistern be completely filled?

Solution

Step 1: Find the rate of each pipe per minute.
- Rate of Pipe A = $\frac{1}{12}$ cistern/min
- Rate of Pipe B = $\frac{1}{18}$ cistern/min
- Emptying Rate of Pipe C = $- \frac{1}{15}$ cistern/min

Step 2: Determine the LCM of denominators 12, 18, 15.
- $12 = 2^{2} \times 3$
- $18 = 2 \times 3^{2}$
- $15 = 3 \times 5$
$LCM (12, 18, 15) = 2^{2} \times 3^{2} \times 5 = 4 \times 9 \times 5 = 180$

Step 3: Calculate net capacity added per minute.

Net Rate = \frac{1}{12} + \frac{1}{18} - \frac{1}{15} = \frac{15 + 10 - 12}{180} = \frac{13}{180} cistern/min

Step 4: Compute total time to fill.

Total Time = \frac{180}{13} = 13 \frac{11}{13} minutes \approx 13.85 minutes

Answer: $13 \frac{11}{13} minutes$ (or approximately 13.85 minutes).

Example 3

In an analytical arrangement, five colleagues—P, Q, R, S, and T—sit in a straight row facing North. P sits at one of the extreme ends. Q is adjacent to neither P nor T. R sits immediately to the right of P. Where does S sit?

Solution

Step 1: Use P's extreme end position.
P can be at Seat 1 (left end) or Seat 5 (right end).

Step 2: Apply the condition 'R sits immediately to the right of P'.
If P were at Seat 5 (right end), no seat exists to the right of P. Therefore, P MUST sit at Seat 1 (left end).
Thus: Seat $1 = P$ , Seat $2 = R$ .

Step 3: Place remaining seats (Seats 3, 4, 5) for Q, S, T.
- Q cannot sit adjacent to P (Seat 1), which is already satisfied since Seat 2 is R.
- Q cannot sit adjacent to T.
If Q is at Seat 4, Q would be adjacent to both Seat 3 and Seat 5, so T would have to be adjacent to Q, which violates the rule. Hence, Q cannot be in the middle of the remaining trio.
If Q is at Seat 5 (right end), Seat 4 cannot be T, so Seat 4 must be S, leaving Seat 3 for T.
Checking arrangement: P (1) - R (2) - T (3) - S (4) - Q (5).
- P is at extreme left: Satisfied.
- R is immediately right of P: Satisfied.
- Q is adjacent to neither P nor T (adjacent only to S): Satisfied.

Answer: S sits at Seat 4 (between T and Q).

Example 4

A planar net of a six-sided die is folded into a 3D cube. In the planar cross, face 1 is in the center; face 2 is to its left, face 3 to its right, face 4 directly above face 1, face 5 directly below face 1, and face 6 is attached below face 5. Which face is opposite face 1?

Solution

Step 1: Recall the opposite face rule for unfolded cube nets.
In an unfolded cube net, faces that are separated by exactly one intervening face along a continuous row or column fold to become opposite faces.

Step 2: Analyze the vertical column.
The vertical column contains faces 4, 1, 5, 6 from top to bottom.
- Face 4 and Face 5 have Face 1 intervening between them $⟹$ Face 4 is opposite Face 5.
- Face 1 and Face 6 have Face 5 intervening between them $⟹$ Face 1 is opposite Face 6.

Step 3: Analyze the horizontal row.
Face 2 and Face 3 have Face 1 intervening between them $⟹$ Face 2 is opposite Face 3.

Answer: Face 6 is opposite Face 1.

Representative solved questions

See the kind of question in this topic before opening the full practice set.

Question 1

GATE 2013 volume1

The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the
above sentence?

is wanting
wants
want
was wanting

Answer: C. want

Explanation

“The Headmaster” is a singular third-person subject, so the simple present must be wants, not “want.” Thus, “want” is grammatically incorrect in the blank.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2013 · GATE PYQ · Question 90Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Question 2

GATE 2010 volume1

Which of the following options is the closest in meaning to the word given below:
Circuitous

cyclic
indirect
confusing
crooked

Answer: B. indirect

Explanation

“Circuitous” means indirect or roundabout rather than proceeding directly. Therefore indirect is the closest meaning.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2010 · GATE PYQ · Question 120Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Question 3

GATE 2014 volume1

In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey
by the statement?

He wants all the money
He will return the money
He will assume final responsibility
He will resist all enquiries

Answer: C. He will assume final responsibility

Explanation

“The buck stops here” means that ultimate responsibility cannot be passed on to someone else. Thus the statement identifies the person who bears final responsibility.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2014 · GATE PYQ · Question 289Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Common mistakes and useful habits

In GATE General Aptitude, the 10 questions account for 15% of the total paper score. Targeting 12–15 marks here is critical for top percentile ranks.
For second conditionals ('if he wanted...'), look for modal auxiliary plus bare infinitive in the apodosis clause ('he should take...'). Never select present forms ('shall take') or past counterfactuals ('should have taken') without a pluperfect condition.
For spatial paper-folding and cube-net questions, use elimination based on opposite faces: two opposite faces can never appear adjacent on any visible perspective of the folded cube.
In quantitative data interpretation, always check if numbers are given in thousands, lakhs, or millions before carrying out calculations to prevent orders-of-magnitude slips.

Sources and review notes

Reviewed by AISEA Editorial Desk (Technical & Aptitude Practice) on 7 Nov 2026.

Authored comprehensive General Aptitude syllabus coverage spanning Verbal, Quantitative, Analytical, and Spatial domains.
Resolved hypothetical conditional grammatical explanation for standard GATE second-conditional PYQ items.
Provided step-by-step worked examples with complete mathematical and spatial reasoning.

GATE General Aptitude Official Syllabus and StructureIIT GATE Committee · Checked 7 Nov 2026Supports: 15-mark General Aptitude structure, Verbal, Quantitative, Analytical, and Spatial Aptitude competencies.
Comprehensive English Grammar and Subjunctive ConditionalsOxford University Press · Checked 7 Nov 2026Supports: Second conditional syntax, sequence of tenses, and modal verb usage.

Ready to test your understanding?

Work through 100 questions with explanations after each answer.

Start practice

Next topic: Quadratic Equations

General Aptitude questions with answers and concepts

100 practice questionsPage updated 11 Sept 2026Reviewed by AISEA Editorial Desk (Technical & Aptitude Practice)Practice questions

Practise this concept

Key formulas and rules

7 rules

Hypothetical Second Conditional: $If + Past Subjunctive/Simple Past ⟹ modal (would / should / could) + bare infinitive$

Weighted Average: $\overset{x}{ˉ}_{w} = \frac{\sum _{i = 1}^{n} w _{i} x _{i}}{\sum _{i = 1}^{n} w _{i}}$ , where $w_{i}$ represents the frequency or relative weight of component $x_{i}$

Relative Percentage Change: $Δ% = \frac{V _{final} - V _{initial}}{V _{initial}} \times 100%$ , always using the original baseline as denominator

Principle of Inclusion-Exclusion: $∣ A \cup B ∣ = ∣ A ∣ + ∣ B ∣ - ∣ A \cap B ∣$ and $∣ A \cup B \cup C ∣ = \sum ∣ A ∣ - \sum ∣ A \cap B ∣ + ∣ A \cap B \cap C ∣$

Work-Rate Reciprocal: $Rate = \frac{1}{T _{total}}$ , so combined rate for two independent agents is $\frac{1}{T _{A + B}} = \frac{1}{T _{A}} + \frac{1}{T _{B}}$

Two-Dimensional Rotation: $(x^{'} y^{'}) = (cos θ sin θ - sin θ cos θ) (x y)$ , mapping clockwise or anticlockwise planar rotations

Contrapositive Equivalence: $(P ⟹ Q) \equiv (\neg Q ⟹ \neg P)$ , providing an exact logical mirror for deductive arguments

Key concepts

Verbal Aptitude: Grammar and Contextual Syntax

Quantitative Aptitude: Numerical Reasoning and Modeling

Analytical Aptitude: Deductive Logic and Constraints

Spatial Aptitude: Transformations and 2D/3D Geometry

Check the idea while it is fresh.Open a focused exercise without losing this article.Practise this concept

Worked examples

Example 1

Solution

Step 2: Apply the second conditional grammar rule.
In standard English, second conditionals follow the pattern: If + [past subjunctive / past simple], then [would / should / could + bare infinitive].

Answer: A) should take.

Example 2

Solution

Step 1: Find the rate of each pipe per minute.
- Rate of Pipe A = $\frac{1}{12}$ cistern/min
- Rate of Pipe B = $\frac{1}{18}$ cistern/min
- Emptying Rate of Pipe C = $- \frac{1}{15}$ cistern/min

Step 2: Determine the LCM of denominators 12, 18, 15.
- $12 = 2^{2} \times 3$
- $18 = 2 \times 3^{2}$
- $15 = 3 \times 5$
$LCM (12, 18, 15) = 2^{2} \times 3^{2} \times 5 = 4 \times 9 \times 5 = 180$

Step 3: Calculate net capacity added per minute.

Net Rate = \frac{1}{12} + \frac{1}{18} - \frac{1}{15} = \frac{15 + 10 - 12}{180} = \frac{13}{180} cistern/min

Step 4: Compute total time to fill.

Total Time = \frac{180}{13} = 13 \frac{11}{13} minutes \approx 13.85 minutes

Answer: $13 \frac{11}{13} minutes$ (or approximately 13.85 minutes).

Example 3

Solution

Step 1: Use P's extreme end position.
P can be at Seat 1 (left end) or Seat 5 (right end).

Answer: S sits at Seat 4 (between T and Q).

Example 4

Solution

Step 3: Analyze the horizontal row.
Face 2 and Face 3 have Face 1 intervening between them $⟹$ Face 2 is opposite Face 3.

Answer: Face 6 is opposite Face 1.

Representative solved questions

See the kind of question in this topic before opening the full practice set.

Question 1

GATE 2013 volume1

The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the
above sentence?

is wanting
wants
want
was wanting

Answer: C. want

Explanation

“The Headmaster” is a singular third-person subject, so the simple present must be wants, not “want.” Thus, “want” is grammatically incorrect in the blank.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2013 · GATE PYQ · Question 90Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Question 2

GATE 2010 volume1

Which of the following options is the closest in meaning to the word given below:
Circuitous

cyclic
indirect
confusing
crooked

Answer: B. indirect

Explanation

“Circuitous” means indirect or roundabout rather than proceeding directly. Therefore indirect is the closest meaning.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2010 · GATE PYQ · Question 120Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Question 3

GATE 2014 volume1

In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey
by the statement?

He wants all the money
He will return the money
He will assume final responsibility
He will resist all enquiries

Answer: C. He will assume final responsibility

Explanation

“The buck stops here” means that ultimate responsibility cannot be passed on to someone else. Thus the statement identifies the person who bears final responsibility.

Sources and review notes

This question retains its previous-year paper provenance.

GATE 2014 · GATE PYQ · Question 289Question paper

Review status: verified · Reviewed 2026-08-13 · structure and answer-key checks, worked-answer review, human editorial review, duplicate screening

Common mistakes and useful habits

In GATE General Aptitude, the 10 questions account for 15% of the total paper score. Targeting 12–15 marks here is critical for top percentile ranks.
For second conditionals ('if he wanted...'), look for modal auxiliary plus bare infinitive in the apodosis clause ('he should take...'). Never select present forms ('shall take') or past counterfactuals ('should have taken') without a pluperfect condition.
For spatial paper-folding and cube-net questions, use elimination based on opposite faces: two opposite faces can never appear adjacent on any visible perspective of the folded cube.
In quantitative data interpretation, always check if numbers are given in thousands, lakhs, or millions before carrying out calculations to prevent orders-of-magnitude slips.

Sources and review notes

Reviewed by AISEA Editorial Desk (Technical & Aptitude Practice) on 7 Nov 2026.

Authored comprehensive General Aptitude syllabus coverage spanning Verbal, Quantitative, Analytical, and Spatial domains.
Resolved hypothetical conditional grammatical explanation for standard GATE second-conditional PYQ items.
Provided step-by-step worked examples with complete mathematical and spatial reasoning.

GATE General Aptitude Official Syllabus and StructureIIT GATE Committee · Checked 7 Nov 2026Supports: 15-mark General Aptitude structure, Verbal, Quantitative, Analytical, and Spatial Aptitude competencies.
Comprehensive English Grammar and Subjunctive ConditionalsOxford University Press · Checked 7 Nov 2026Supports: Second conditional syntax, sequence of tenses, and modal verb usage.

Ready to test your understanding?

Work through 100 questions with explanations after each answer.

Start practice

Next topic: Quadratic Equations

GATE General Aptitude Official Syllabus and StructureIIT GATE Committee · Checked 7 Nov 2026Supports: 15-mark General Aptitude structure, Verbal, Quantitative, Analytical, and Spatial Aptitude competencies.

Comprehensive English Grammar and Subjunctive ConditionalsOxford University Press · Checked 7 Nov 2026Supports: Second conditional syntax, sequence of tenses, and modal verb usage.

Key formulas and rules

Key concepts

Verbal Aptitude: Grammar and Contextual Syntax

Quantitative Aptitude: Numerical Reasoning and Modeling

Analytical Aptitude: Deductive Logic and Constraints

Spatial Aptitude: Transformations and 2D/3D Geometry

Worked examples

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution

Representative solved questions

Question 1

Question 2

Question 3

Common mistakes and useful habits

Sources and review notes

Ready to test your understanding?

Keep building the same skill family.

Key formulas and rules

Key concepts

Verbal Aptitude: Grammar and Contextual Syntax

Quantitative Aptitude: Numerical Reasoning and Modeling

Analytical Aptitude: Deductive Logic and Constraints

Spatial Aptitude: Transformations and 2D/3D Geometry

Worked examples

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution

Representative solved questions

Question 1

Question 2

Question 3

Common mistakes and useful habits

Sources and review notes

Ready to test your understanding?

Keep building the same skill family.